论文标题
维度3
New examples of stably ergodic diffeomorphisms in dimension 3
论文作者
论文摘要
我们证明，在以$ 3 $维的歧管中保留部分双曲线差异的任何体积的同位素类别中，存在一个非最佳双曲线稳定的细颈差异性。特别是，我们提供了相对于平滑体积度量的三维流形中稳定的千古差异形态的新示例。
We prove that in the isotopy class of any volume preserving partially hyperbolic diffeomorphism in a $3$-dimensional manifold, there is a non-partially hyperbolic stably ergodic diffeomorphism. In particular, we provide new examples of stably ergodic diffeomorphisms in 3-dimensional manifolds with respect to a smooth volume measure.
